E Book

Geometric and Topological Methods for Quantum Field Theory

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Knot Invariants and Configuration Space Integrals (Christine Lescop) -- Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces (Raimar Wulkenhaar) -- Introduction to String Compactification (Anamaria Font, Stefan Theisen) -- Index Theorems and Noncommutative Topology (Thierry Fack).This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.

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Ketersediaan

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Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Berlin : Springer., 2005

Deskripsi Fisik

XV, 230 p.online resource.

Bahasa

English

ISBN/ISSN

9783540315223

Klasifikasi

530.15

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed.

Subjek

Physics.
Elementary particles (Physics).
Quantum field theory.
String theory.
Elementary Particles, Quantum Field Theory.
Quantum Field Theories, String Theory.
Differential geometry.
Mathematical Methods in Physics.
Manifolds (Mathematics).
Complex manifolds.
Manifolds and Cell Complexes (incl. Diff.Topology).

Info Detail Spesifik

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Pernyataan Tanggungjawab

Hernan Ocampo, Sylvie Paycha, Andrés Vargas.

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